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8-2 Problem Solving in Geometry with Proportions - Nexuslearning.net

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SAMMY SOSA<br />

was the National<br />

League Most Valuable<br />

Player <strong>in</strong> 1998. He hit 66<br />

home runs to f<strong>in</strong>ish second<br />

to Mark McGwire who hit 70,<br />

a new record.<br />

APPLICATION LINK<br />

www.mcdougallittell.com<br />

REAL<br />

REAL LIFE<br />

LIFE<br />

INTERNET<br />

FOCUS ON<br />

PEOPLE<br />

PROPERTIES OF PROPORTIONS Use the diagram and the given <strong>in</strong>formation<br />

to f<strong>in</strong>d the unknown length.<br />

AB<br />

AC<br />

23. GIVEN = , f<strong>in</strong>d BD. 24. GIVEN<br />

BD<br />

CE<br />

VW<br />

= <br />

WY<br />

VX<br />

11.25 , f<strong>in</strong>d VX. 9<br />

XZ<br />

D<br />

B<br />

A<br />

20 16<br />

C<br />

9<br />

25. GIVEN BT<br />

= <br />

TR<br />

ES<br />

, f<strong>in</strong>d TR.<br />

2 SP<br />

SQ<br />

26. GIVEN<br />

SL<br />

= , f<strong>in</strong>d SQ.<br />

1<br />

6 } } 17}2 }<br />

3<br />

SK<br />

SJ<br />

B<br />

4<br />

T<br />

R<br />

BLUEPRINTS In Exercises 29<br />

and 30, use the bluepr<strong>in</strong>t of the<br />

1<br />

house <strong>in</strong> which <strong>in</strong>ch = 1 foot.<br />

16<br />

Use a ruler to approximate the<br />

dimension.<br />

29. F<strong>in</strong>d the approximate width of the<br />

house to the nearest 5 feet.<br />

about 25 ft<br />

30. F<strong>in</strong>d the approximate length of the<br />

house to the nearest 5 feet.<br />

about 40 ft<br />

31. BATTING AVERAGE The batt<strong>in</strong>g average of a baseball player is the ratio<br />

of the number of hits to the number of official at-bats. In 1998, Sammy Sosa<br />

of the Chicago Cubs had 643 official at-bats and a batt<strong>in</strong>g average of .308.<br />

Use the follow<strong>in</strong>g verbal model to f<strong>in</strong>d the number of hits Sammy Sosa got.<br />

Number<br />

of<br />

hits<br />

= <br />

Number<br />

of<br />

at-bats<br />

Batt<strong>in</strong><br />

198 hits<br />

g average<br />

<br />

1.000<br />

32. CURRENCY EXCHANGE Natalie has relatives <strong>in</strong> Russia. She decides to<br />

take a trip to Russia to visit them. She took 500 U.S. dollars to the bank to<br />

exchange for Russian rubles. The exchange rate on that day was 22.76 rubles<br />

per U.S. dollar. How many rubles did she get <strong>in</strong> exchange for the 500 U.S.<br />

11,380 rubles<br />

dollars? Source: Russia Today<br />

E<br />

E<br />

6<br />

S<br />

10<br />

L<br />

Y<br />

6<br />

W<br />

8.2 <strong>Problem</strong> <strong>Solv<strong>in</strong>g</strong> <strong>in</strong> <strong>Geometry</strong> <strong>with</strong> <strong>Proportions</strong> 469<br />

24<br />

V<br />

X<br />

3<br />

Z<br />

K J<br />

2<br />

P<br />

q<br />

5<br />

7<br />

LJ<br />

27. GIVEN = <br />

JN<br />

MK<br />

, f<strong>in</strong>d JN.<br />

KP<br />

28. GIVEN QU<br />

= <br />

QS<br />

R<br />

6<br />

6 } }<br />

7<br />

V<br />

, f<strong>in</strong>d SU.<br />

RT<br />

9<br />

16<br />

L M<br />

12<br />

S<br />

6<br />

q R<br />

4<br />

T<br />

J<br />

K<br />

9<br />

6<br />

N P<br />

U<br />

V<br />

S

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